{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import matplotlib as mpl\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "from numpy import nan as NaN\n",
    "from sklearn import linear_model, datasets\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.mixture import GaussianMixture\n",
    "from sklearn.model_selection import KFold\n",
    "from sklearn import datasets\n",
    "from sklearn.manifold import TSNE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "air_quality_path='AirQualityUCI/AirQualityUCI.csv'\n",
    "data=pd.read_excel('AirQualityUCI/AirQualityUCI.xlsx')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Date             0\n",
       "Time             0\n",
       "CO(GT)           0\n",
       "PT08.S1(CO)      0\n",
       "NMHC(GT)         0\n",
       "C6H6(GT)         0\n",
       "PT08.S2(NMHC)    0\n",
       "NOx(GT)          0\n",
       "PT08.S3(NOx)     0\n",
       "NO2(GT)          0\n",
       "PT08.S4(NO2)     0\n",
       "PT08.S5(O3)      0\n",
       "T                0\n",
       "RH               0\n",
       "AH               0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.shape[0]-data.count()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.hist(bins=15, color='steelblue', edgecolor='black', linewidth=1.0,\n",
    "              xlabelsize=9, ylabelsize=9, grid=False)    \n",
    "plt.tight_layout(rect=(0,0 , 1.5, 1.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\users\\89228\\appdata\\local\\programs\\python\\python37\\lib\\site-packages\\pandas\\core\\frame.py:4042: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  method=method)\n"
     ]
    }
   ],
   "source": [
    "# select atrributes\n",
    "# feature engineering\n",
    "selected_attributes=['Time', 'CO(GT)', 'PT08.S1(CO)', 'C6H6(GT)',\n",
    "       'PT08.S2(NMHC)',  'PT08.S3(NOx)', \n",
    "       'PT08.S4(NO2)', 'PT08.S5(O3)', 'T', 'RH', 'AH']\n",
    "\n",
    "\n",
    "preprocessed_data=data[selected_attributes]\n",
    "preprocessed_data.replace(-200,NaN,inplace=True)\n",
    "preprocessed_data=preprocessed_data.dropna(axis=0, how='any')\n",
    "data=preprocessed_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.isnull().values.any()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "time = data.Time.unique()\n",
    "time0_data=data[data.Time==time[0]]\n",
    "time0_data=time0_data.reset_index(drop=True)\n",
    "input=round(time0_data.iloc[:,1:],2).values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x=input[:,:-1]\n",
    "y=input[:,-1:]\n",
    "\n",
    "x_train,x_test,y_train,y_test = train_test_split(x,y,test_size=0.3,random_state=0)\n",
    "model = linear_model.LinearRegression()\n",
    "model.fit(x_train,y_train)\n",
    "score = model.score(x_test, y_test)\n",
    "result = model.predict(x_test)\n",
    "plt.figure()\n",
    "plt.plot(np.arange(len(result)), y_test,'go-',label='true value')\n",
    "plt.plot(np.arange(len(result)),result,'ro-',label='predict value')\n",
    "plt.title('score: %f'%score)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
